Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Suppose , , and…
MATHEMATICS · Multi-part · CBSE · Mathematics · Sets · Sets
Problem
Suppose
U
=
{
x
∈
Z
∣
30
<
x
<
60
}
U = \{x \in \mathbb{Z} \mid 30 < x < 60\}
U
=
{
x
∈
Z
∣
30
<
x
<
60
}
,
M
=
{
multiples of
4
between
30
and
60
}
M = \{\text{multiples of } 4 \text{ between } 30 \text{ and } 60\}
M
=
{
multiples of
4
between
30
and
60
}
, and
N
=
{
multiples of
6
between
30
and
60
}
N = \{\text{multiples of } 6 \text{ between } 30 \text{ and } 60\}
N
=
{
multiples of
6
between
30
and
60
}
. (1) List
M
M
M
and
N
N
N
. (2) Find
M
∩
N
M \cap N
M
∩
N
. (3) Find
M
∪
N
M \cup N
M
∪
N
. (4) Show that
n
(
M
∪
N
)
=
n
(
M
)
+
n
(
N
)
−
n
(
M
∩
N
)
n(M \cup N) = n(M) + n(N) - n(M \cap N)
n
(
M
∪
N
)
=
n
(
M
)
+
n
(
N
)
−
n
(
M
∩
N
)
.
Related theory
Venn Diagrams
Sets
Operations on Sets
Set operations
Union and intersection
Probability
Browse the problem library